Mixture and Alligation

1.		In a vessel, milk and water are mixed are in ratio 4 : 1 and in a second vessel, in the ratio 5 : 4. In what proportion these two mixtures are to be mixed to get a mixture containing milk and water in the ratio 2 : 1?

5 : 3

3 : 5

6 : 5

5 : 6

2.		There are two vessels. In the first vessel, the ratio of copper and aluminium is 1 : 2 and in the 2nd vessel, 1 : 4. In what ratio these two vessel should be mixed to make 3rd vessel in which the ratio of copper and aluminium become 1 : 3?

5:3

3:5

2:5

5:2

3.		In a mixture of 60 liters, the ratio of milk and water is 2 : 1. What amount of water must be added to make the ratio of milk and water as 1 : 2?

42 liters

56 liters

60 liters

77 liters

4.		250 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?

60 liters

75 liters

80 liters

100 liters

5.		One type of liquid contains 25% of acid, the other contains 20% of acid. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of acid in the new mixture?

23%

25%

27%

29%

6.		A grain merchant has 500 kg of rice, a part of which he sells at 8% profit and the rest at 18%. He gains 14% on the whole. The quantity sold at 18% profit is:

200 kg

300 kg

150 kg

180 kg

7.		A tea merchant buys a kind of tea at Rs 8 per kg and he mixes it with another kind of tea at Rs 28 per kg. In what proportion must he mix the two kinds of teas so that the mixture is sold at Rs 23 per kg to gain 15%?

2:1

3:2

1:2

2:3

8.		A shopkeeper sells milk which contains 5% water. What quantity of pure milk should be added to 10 liters of milk (containing 5% water) so that proportion of water becomes 4%?

1.5 L

1.8 L

2 L

2.5 L

9.		A trader has 1000 Kg of wheat, part of which he sells at 5% profit and the rest at 20% profit. He gains 15% on the whole. Find how much wheat is sold at 5% profit?

600 kg

500 kg

666.66 kg

333.33 kg

10.		A person mixes item A costing Rs. 30/kg with item B costing Rs. 5/kg, and produces a mixture which costs Rs. 12/kg. The ratio in which the person mixes items B and A is:

7 : 18

5 : 13

12 : 13

18 : 7